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Determine the AP whose third term is 16 ...

Determine the AP whose third term is 16 and the `7^(t h)`term exceeds the `5^(t h)`term by 12.

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To determine the arithmetic progression (AP) whose third term is 16 and whose seventh term exceeds the fifth term by 12, we will follow these steps: ### Step 1: Understand the formula for the nth term of an AP The nth term of an arithmetic progression can be expressed as: \[ T_n = A + (n - 1)D \] where \( A \) is the first term and \( D \) is the common difference. ### Step 2: Set up the equations based on the given information ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The 17^(th) term of an AP exceeds its 10^(th) term by 7. Find the comm...

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  2. Find the 20^(t h)term from the last term of the AP : 3, 8, 13, . . , ...

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  3. Determine the AP whose third term is 16 and the 7^(t h)term exceeds th...

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  4. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . ...

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  5. How many multiples of 4 lie between 10 and 250?

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  6. In a potato race, a bucket is placed at the starting point, which is ...

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  7. Subba Rao started work in 1995 at an annual salary of Rs 5000 and rec...

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  8. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6t...

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  9. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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  10. Find the sum of first 51 terms of an AP whose second and third terms ...

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  11. Find the 31^(s t) term of an AP whose 11^(t h)term is 38 and the 16^(t...

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  12. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease unif...

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  13. In an AP: given a=8,an=62,Sn=210 find n and d

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  14. Find the sums given below : (i) 7+10 1/2+14+...+84 (ii) 34+32+30+...+...

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  15. Find the sum of the following APs : (i) 2, 7, 12, . . . , to 10 terms...

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  16. Find the sum of first 22 terms of an AP in which d=l and 22nd term is ...

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  17. The first and the last terms of an AP are 17 and 350 respectively. If...

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  18. The first term of an AP is 5, the last term is 45 and the sum is 400. ...

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  19. How many terms of the AP: 9, 17, 25, . . . must be taken to give a su...

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  20. A spiral is made up of successive semicircles, with centres alternate...

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